10020574004224 has 176 divisors, whose sum is σ = 23044636816128. Its totient is φ = 4266125918208.

The previous prime is 10020574004213. The next prime is 10020574004249. The reversal of 10020574004224 is 42240047502001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1913416134 + ... + 1913421370.

Almost surely, 2^{10020574004224} is an apocalyptic number.

10020574004224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020574004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11522318408064).

10020574004224 is an abundant number, since it is smaller than the sum of its proper divisors (13024062811904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10020574004224 is a wasteful number, since it uses less digits than its factorization.

10020574004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

The spelling of 10020574004224 in words is "ten trillion, twenty billion, five hundred seventy-four million, four thousand, two hundred twenty-four".